In general probably not. Our headphone hole diameter is approximately .3 inches and will easily fit the apple headphones.
If you would like to use larger headphones you can simply use an adapter which can be readily found for under $10. We recommend searching "iPod Headphone Adapter" on amazon.com.
Most docks probably will not work with any hard case by any brand including Grove. There are also some adapters available called "dock extenders".